# MODUL MATEMATIK TINGKATAN 4 by smapdi62

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```									                                           SMK RAJA PEREMPUAN,IPOH
MODUL CEMERLANG 2008/2009

Mata Pelajaran : Matematik                            Tingkatan: 4
________________________________________________________________________

1. x² + y² – (2x – y)² =
A. -3x²         C. -3x² + 4xy                      7. Given that 2h = h + 3,then h =
B. -3x ²+ 2y² D. -3x² + 2y² – 4xy                     A. 1               C. 3
B. 2               D. 4
m m2  4
2. Express                  as a single
3       6m                             8. Given that 5(2q – 7) – (3 – 4q) = 4,then the value
fraction in its simplest form.                      of q
m2  4               m4                                               7
A.                   C.                             A. 7              C.
6m                  6m                                               3
m 4
2
m4                        B. 3              D. 1
B.                   D.
6m                  6m

3. Given that h- k(4 + h) = k,express h in            9. Find the solution of the inequality 5 – h ≤ 2.
terms of k.                                           A. h ≥ 3           C. h <-4
5k                   5k                        B. h > 4           D. h ≤ 3
A. h =             C. h =
2                 1 k
5k                2k  4
B. h =             D. h =                          10. Find all the integers x that satisfy both the
k 1                  2                        inequalities x < 7 and 13 – 4x ≤ -3 .
A. 4,5,6            C. 5,6,7
1 q                           B. 3,4,5,6          D. 4,5,6,7
4. Given that p =                , then q =
2q
1 2 p                    1 2 p
A.                       C.                      11.
1 p                      1 p
4p – 5q = 23
1 2 p                     1 2 p
B.                       D.                                2p + 3q = -5
1 p                       1 p
The possible solution for the simultaneous
3
5.   5      =                                               equations above is
A. p=3,q= -2      C. p=2,q=-3
1                  1
A.                      C.                              B. p=-2,q=3       D. p=-3,q=2
53                35
1                    1
B.                       D. 5
53                   3                    12.
3m – 2n = 5
4m = n
6. Simplify n 3       
5
 n7 =                           The value of n for the simultaneous equations
2                    8                      above is
A.     n                 C.    n                          A. -4                  C. 1
22                        B. -2                  D. 3
B.     n                 D.    n
13. Simplify (x – y)² + (x + y)(y – x)          20. A dice is thrown.The event of getting a
A. 2y² – 2xy        C. 2x² – 2xy             prime number is
B. 2y² – 2x         D. 2x² – 2y              A. {1,3,5}        C. {2,4,6}
B. {2,3,5}        D. {1,2,3,4,5,6}

14. Factorise 9x² - 4y²                         21. The number of significant figures of
A. (3x + 2y)²              C. (3x – 2y)²         0.045
B. (3x + 2y)(3x – 2y)      D.(2x + 3y)(2x – 2y) A. 1              C. 3
B. 2              D. 4

15. Express 26 in standard form.
22. The diagram below is a pie chart which
A. 0.26 x 10 1    C. 2.6 x 10 1
shows the number of pupils who passed and
B. 2.6 x 10 1    D. 26 x 10 1                  failed in a Mathematics test.

16. 3.7 x 10 5 + 67000 =
A. 4.37 x 10 5   C. 4.4 x 10 6                                      Fail
B. 437 x 10 5   D. 4.4 x 10 6
Pass
17. The diagram below shows a straight line
line PQ on the Cartesian Plane.
The number of pupils who failed the test is 10.
The y-intercept is
Find the number of pupils who passed the test.
7                                               A. 10         C. 30
P
B. 20         D. 40
Q
F
5                              23. The table below shows the frequency
distribution of the scores obtained by a group
A. 5             C. (5,0)
of 20 pupils in a quiz.
B. 7             D. (0,7)
Score   0    1    2         3
Frequency
2    6    4         8
18. Find the gradient of the straight line
Which passes through (1,5) and (-3,4).             Find the mean score
1                           A. 1.9        C. 3
A. 4               C.                              B. 2.1        D. 5
4
9                   2
B.                D. 
2                   9                  24. Convert 27.4° to degrees and minutes.
A. 27° 41’     C. 27° 40’
B. 27 °24’     D. 27° 44’
19. A coin is tossed, The sample space is
25.     (a) Round off the following numbers to 2 significant figures.
1) 80 526 : …………………….
2) 0.008326: …………………….
3) 5.076 : ……………………..

(b) Round off the following numbers to 3 significant figures.
1) 60 781 : …………………………...
2) 1.00764 : …………………………..
3) 0.052784 : …………………………..

(c) Express the following numbers in standard form.
1) 0.0713 : ……………………………
2) 60 781 : ……………………………
3) 46.000 : ……………………………

26. Factorise the following
a) x² + x – 12 =

b) 2x² – 13x + 6 =

27.
The Venn diagrams in the answer space shows the universal set
ξ = A U B U C on the diagram, shade the region which represents

( a ) Set A U C’             A                                 B

C
( b ) Set ( A ∩ C ) U B
A                                   B

C
28. . Diagram 4 shows a solid formed by joining a cuboid and half-cylinder. The radius of half-
cylinder, r = 3 cm and the height, h = 14 cm. The length of the cuboid, AB = 14 cm, the width,
BC = 6 cm and the height, CF = 4 cm.
r = 3 cm

E
F
H
G
4 cm
D
C
A                                    6 cm
14 cm           B

Diagram 4
By using π = 22
7
Calculate the volume in cm³ of the :
(i) half-cylinder
(ii) cuboid
(iii) whole solid

29.
Diagram 1 shows three triangles ABC, DEF and GHJ on a Cartesian plane.

Diagram 1
(a)                                        4 
Transformation Q is a translation  
  6
 
Transformation T is a reflection in the y- axis
Transformation R is a reflection in the line y = 2
State the coordinates of the image of
(i)       Point F under transformation Q
(ii)      Point E under combined transformation RQ
(iii)     Point D under combined transformation TR

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